Solve for x
x=-\frac{30}{1-6y}
y\neq \frac{1}{6}
Solve for y
y=\frac{1}{6}+\frac{5}{x}
x\neq 0
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x=6yx-30
Use the distributive property to multiply yx-5 by 6.
x-6yx=-30
Subtract 6yx from both sides.
\left(1-6y\right)x=-30
Combine all terms containing x.
\frac{\left(1-6y\right)x}{1-6y}=-\frac{30}{1-6y}
Divide both sides by -6y+1.
x=-\frac{30}{1-6y}
Dividing by -6y+1 undoes the multiplication by -6y+1.
x=6yx-30
Use the distributive property to multiply yx-5 by 6.
6yx-30=x
Swap sides so that all variable terms are on the left hand side.
6yx=x+30
Add 30 to both sides.
6xy=x+30
The equation is in standard form.
\frac{6xy}{6x}=\frac{x+30}{6x}
Divide both sides by 6x.
y=\frac{x+30}{6x}
Dividing by 6x undoes the multiplication by 6x.
y=\frac{1}{6}+\frac{5}{x}
Divide x+30 by 6x.
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